List of top Mathematics Questions on Exponents asked in CBSE Class VII

Compare the following numbers: 

1. \( 2.7 × 10^{12 }\); \(1.5 × 10^8\) 
2.  \(4 × 10^{14}\) ; \(3 × 10^{17}\)

Simplify: 

1.  \((– 4)^3\) 
2. \((–3) × (–2)^3\) 
3.  \((–3)^2 × (–5)^2\) 
4.  \((–2)^3 × (–10)^3\)

Simplify: 

1.  \(2 × 10^3\) 
2.  \(7^ 2 × 2^2\) 
3.  \(2^ 3 × 5\) 
4.  \(3 × 4^4\) 
5.  \(0 × 10^2\) 
6.  \(5^ 2 × 3^3\) 
7.  \(2^ 4 × 3^2\) 
8.  \(3^ 2 × 10^4\)

Express each of the following as product of powers of their prime factors: 

1.  648 
2.  405 
3.  540 
4.  3,600

Identify the greater number, wherever possible, in each of the following? 

1. \(4 ^3\) or \(3^4\) 
2.  \(5 ^3\) or \(3^5\) 
3.  \(2 ^8\) or \(8^2\) 
4.  \(100^2\) or \(2^{100}\) 
5.  \(2 ^{10}\) or \(10^{2}\)

Express the following in exponential form:

1. 6 × 6 × 6 × 6
2.  t × t
3.  b × b × b × b
4.  5 × 5× 7 × 7 × 7
5.  2 × 2 × a × a
6.  a × a × a × c × c × c × c × d

Express each of the following numbers using exponential notation: 

1.  512 
2.  343 
3.  729 
4.  3125